1186495400160 has 432 divisors, whose sum is σ = 4884413906736. Its totient is φ = 271198513152.

The previous prime is 1186495400143. The next prime is 1186495400161. The reversal of 1186495400160 is 610045946811.

1186495400160 is a `hidden beast` number, since 1 + 1 + 8 + 6 + 49 + 540 + 0 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1186495400161) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1593724 + ... + 2216516.

It is an arithmetic number, because the mean of its divisors is an integer number (11306513673).

Almost surely, 2^{1186495400160} is an apocalyptic number.

1186495400160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1186495400160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442206953368).

1186495400160 is an abundant number, since it is smaller than the sum of its proper divisors (3697918506576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1186495400160 is an equidigital number, since it uses as much as digits as its factorization.

1186495400160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622837 (or 622810 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1186495400160 in words is "one trillion, one hundred eighty-six billion, four hundred ninety-five million, four hundred thousand, one hundred sixty".